1. Ideal Gas Law:
The ideal gas law relates pressure (P), volume (V), number of moles (n), and temperature (T):
PV = nRT
Where:
* R is the ideal gas constant (0.0821 L·atm/mol·K)
2. Assumptions:
* We need to assume standard temperature and pressure (STP) to solve this problem. STP is defined as 0°C (273.15 K) and 1 atm pressure.
3. Rearrange the Equation:
Solve the ideal gas law for volume:
V = nRT / P
4. Plug in the Values:
* n = 0.02 moles
* R = 0.0821 L·atm/mol·K
* T = 273.15 K
* P = 1 atm
5. Calculate:
V = (0.02 mol * 0.0821 L·atm/mol·K * 273.15 K) / 1 atm
V ≈ 0.448 L
Therefore, approximately 0.448 liters of volume is occupied by 0.02 moles of chlorine gas at STP.
